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Finding the Fourth Proportional to 5,238.81, 7,848.96 and 2,768.16

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Solution

The fourth proportional to 5,238.81, 7,848.96 and 2,768.16 is: 4,147.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,238.81 : 7,848.96 = 2,768.16 : x
  2. Step 2: Convert to fraction form
    5,238.81/7,848.96 = 2,768.16/x
  3. Step 3: Cross multiply
    5,238.81x = 7,848.96 × 2,768.16
  4. Step 4: Simplify right side
    5,238.81x = 21,727,177.11
  5. Step 5: Solve for x
    x = 21,727,177.11/5,238.81
  6. Step 6: Final answer
    x = 4,147.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.